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Browsing by Author "Diaz Zapata, Juan Camilo"

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  • ZOIP package in R to analyse inflated proportional data with zeros and/or ones

    Institución: Universidad Santo Tomás

    Revista: Comunicaciones en Estadística

    Autores: Diaz Zapata, Juan Camilo; Hernández Barajas, Freddy; Usuga Manco, Olga Cecilia

    Fecha de publicación en la Revista: 2018-06-30

    Fecha de cosecha en Ciencia Nacional: 2024-08-12

    Data obtained from variables measured as percentages, rates and proportions are called proportional data and these variables are usually within the (0,1) interval. Although, different distributions have been developed to characterize these variables, it is possible that some variables take the extreme values at zero and one. Some researchers as Ospina & Ferrari (2012) and Rigby & Stasinopoulos (2005) proposed the inflated Beta distribution with zeros and/or ones, differentiated only by their parameterization. Other authors such as Galvis & Lachos (2014) have worked with inflated proportional data, considering other distributions such as simplex distributions. Nevertheless, it has not been found any distribution which combines the main characteristic of several distributions for solving these issue. Thus, this paper presents the ZOIP package (Zeros Ones Inflated Proportional), developed on the computation system R, this package combines both Beta and simplex distribution and estimates its parameters given the parameters for the original distributions. The parameters estimation process, is performed by maximum likelihood method. Finally, simulations studies have been performed which show the accuracy of the parameters convergence and the adjustment of a ZOIP distribution on real data
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